Rudy Giuliani said Sunday he will consider running for governor of New York and isn't ruling out a second attempt at the U.S. presidency.

A one-time presidential front-runner and former mayor of New York City, Giuliani dropped out of the race for the Republican nomination in January after losing the primary in Florida, where he had poured the bulk of his campaign resources.

"No one knows whether you'll do something again until you come to the point of: 'Is it possible to do it again? Would you have a chance of winning?' " he said of a second White House bid following a speech in Dubai. "I mean those are just things you can't evaluate right now."

In Bronxville, residents were split on the former mayor's return to New York politics. Paul Smith, of Yonkers, says Giuliani "doesn't do it for me."

News 12 Westchester Republican political analyst Mike Edelman, however, says Giuliani would thrive as governor. "Everybody knows what he did for New York," he says. "The budget was in shambles when he took over and when he left it was fiscally sound. He'll do the same thing for New York State."

AP wire services contributed to this article.